4 papers · 1 filter
Hikami boxes and the Sinai billiard
Daniel L. Miller
Diagram, known in theory of the Anderson localization as the Hikami box, is computed for the Sinai billiard. This interference effect is mostly important for trajectories tangent t…
Inhomogeneous states in quantum dots. I
Daniel L. Miller
In this work we show that the Anderson impurity model applied to ``scar'' wave function may explain large fluctuations of ground state energy of electron gas in a quantum dot.
Compressibility of electron gas in presence of Anderson's impurity
Daniel L. Miller
We employ Wiegmann's solution of the Anderson impurity model in order to compute the compressibility of electron gas. We have found that there is a pair of neighbor levels separate…
The probability for wave packet to remain in a disordered cavity
Daniel L. Miller
We show that the probability that a wave packet will remain in a disordered cavity until the time decreases exponentially for times shorter than the Heisenberg time and log-nor…